TY - GEN
T1 - H2 and H∞ error bounds for model order reduction of second order systems by Krylov subspace methods
AU - Panzer, Heiko K.F.
AU - Wolf, Thomas
AU - Lohmann, Boris
PY - 2013
Y1 - 2013
N2 - We present rigorous bounds on the H2 and H∞ norm of the error resulting from model order reduction of second order systems by KRYLOV subspace methods. To this end, we use a strictly dissipative state space realization of the model and perform a factorization of the error system. The derived error expressions are easy to compute and can therefore be applied to models of very high order, as is demonstrated in numerical examples. In fact, all results hold true for arbitrary state space models in strictly dissipative realization that do not necessarily have to originate from second order systems.
AB - We present rigorous bounds on the H2 and H∞ norm of the error resulting from model order reduction of second order systems by KRYLOV subspace methods. To this end, we use a strictly dissipative state space realization of the model and perform a factorization of the error system. The derived error expressions are easy to compute and can therefore be applied to models of very high order, as is demonstrated in numerical examples. In fact, all results hold true for arbitrary state space models in strictly dissipative realization that do not necessarily have to originate from second order systems.
UR - http://www.scopus.com/inward/record.url?scp=84893297690&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84893297690
SN - 9783033039629
T3 - 2013 European Control Conference, ECC 2013
SP - 4484
EP - 4489
BT - 2013 European Control Conference, ECC 2013
T2 - 2013 12th European Control Conference, ECC 2013
Y2 - 17 July 2013 through 19 July 2013
ER -